Meat or poultry classified as lean has less than four grams of saturated fat. Suppose the amount of saturated fat in a randomly selected piece of lean meat or poultry is a random variable, X, with...

Meat or poultry classified as lean has less than four grams of saturated fat. Suppose the amount of saturated fat in a randomly selected piece of lean meat or poultry is a random variable, X, with probability density function given by

a. Carefully sketch a graph of the density function.

 b. What is the probability that a randomly selected piece of lean meat or poultry has less than 1.5 grams of saturated fat?

c. What is the probability that a randomly selected piece of lean meat or poultry has more than three grams of saturated fat?

d. What is the probability that a randomly selected piece of lean meat or poultry has between two and four grams of saturated fat?

e. Suppose a randomly selected piece of lean meat or poultry has at most three grams of saturated fat. What is the probability that it has at most one gram of saturated fat?